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Finding the Fourth Proportional to 230,587.49, 343,588.85 and 205,434.26

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Solution

The fourth proportional to 230,587.49, 343,588.85 and 205,434.26 is: 306,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,587.49 : 343,588.85 = 205,434.26 : x
  2. Step 2: Convert to fraction form
    230,587.49/343,588.85 = 205,434.26/x
  3. Step 3: Cross multiply
    230,587.49x = 343,588.85 × 205,434.26
  4. Step 4: Simplify right side
    230,587.49x = 70,584,919,939.64
  5. Step 5: Solve for x
    x = 70,584,919,939.64/230,587.49
  6. Step 6: Final answer
    x = 306,109.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.